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123023011011102 = 23379156491842803
BaseRepresentation
bin11011111110001110000110…
…110111101101101000011110
3121010120212220011022210101000
4123332032012313231220132
5112111102111304323402
61113351554022131130
734625055616621206
oct3376160667555036
9533525804283330
10123023011011102
1136220847570134
121196a825580aa6
1353850353a2877
1422544ba0bd406
15e3519e131c1c
hex6fe386deda1e

123023011011102 has 64 divisors (see below), whose sum is σ = 276862872960000. Its totient is φ = 40485976637184.

The previous prime is 123023011011097. The next prime is 123023011011107. The reversal of 123023011011102 is 201110110320321.

123023011011102 is a `hidden beast` number, since 1 + 230 + 230 + 1 + 101 + 1 + 102 = 666.

It is an interprime number because it is at equal distance from previous prime (123023011011097) and next prime (123023011011107).

It is a super-2 number, since 2×1230230110111022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123023011011107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65837233 + ... + 67680035.

It is an arithmetic number, because the mean of its divisors is an integer number (4325982390000).

Almost surely, 2123023011011102 is an apocalyptic number.

123023011011102 is an abundant number, since it is smaller than the sum of its proper divisors (153839861948898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123023011011102 is a wasteful number, since it uses less digits than its factorization.

123023011011102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858542 (or 1858536 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 123023011011102 its reverse (201110110320321), we get a palindrome (324133121331423).

The spelling of 123023011011102 in words is "one hundred twenty-three trillion, twenty-three billion, eleven million, eleven thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 711 1422 2133 4266 15649 31298 46947 93894 140841 281682 422523 845046 1236271 1842803 2472542 3685606 3708813 5528409 7417626 11056818 11126439 16585227 22252878 33170454 33379317 49755681 66758634 99511362 145581437 291162874 436744311 873488622 1310232933 2620465866 3930698799 7861397598 28838024147 57676048294 86514072441 173028144882 259542217323 519084434646 778626651969 1557253303938 2278203907613 4556407815226 6834611722839 13669223445678 20503835168517 41007670337034 61511505505551 123023011011102